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Finding the Fourth Proportional to 475.60, 656.08 and 289.16

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Solution

The fourth proportional to 475.60, 656.08 and 289.16 is: 398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.60 : 656.08 = 289.16 : x
  2. Step 2: Convert to fraction form
    475.60/656.08 = 289.16/x
  3. Step 3: Cross multiply
    475.60x = 656.08 × 289.16
  4. Step 4: Simplify right side
    475.60x = 189,712.09
  5. Step 5: Solve for x
    x = 189,712.09/475.60
  6. Step 6: Final answer
    x = 398.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.